   Chapter 2.5, Problem 47E ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

#### Solutions

Chapter
Section ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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# For concave hexagon HJKLMN, m ∠ H = y and the measure of reflex angle at N is 2 ( y + 10 ) . Find the measure of the interior angle sat vertex N.(HINT: Note congurences in the figure) To determine

To find:

The measure of the interior angle at vertex N.

Explanation

Given:

The following figure shows the hexagon HJKLMN.

mH=y and measures of reflex angle at N is 2(y+10).

Hexagon has 6 sides.

Formula used:

The formula to calculate the sum of interior angle of an n sided regular polygon is given by,

S=(n2)180°

Calculation:

Substitute 6 for n in the above mentioned formula to obtain the value of S.

S=(62)180°=4×180°=720°

Equation for sum of interior angles of hexagon is as follows.

mH+mJ+mM+mL+mN+mK=720°y+y+

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